5493016166400 has 1836 divisors, whose sum is σ = 23671688936272. Its totient is φ = 1238347284480.

The previous prime is 5493016166347. The next prime is 5493016166413. The reversal of 5493016166400 is 46616103945.

5493016166400 is a `hidden beast` number, since 5 + 49 + 30 + 16 + 166 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75246796764 + ... + 75246796836.

Almost surely, 2^{5493016166400} is an apocalyptic number.

5493016166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5493016166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835844468136).

5493016166400 is an abundant number, since it is smaller than the sum of its proper divisors (18178672769872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5493016166400 is an frugal number, since it uses more digits than its factorization.

5493016166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5493016166400 in words is "five trillion, four hundred ninety-three billion, sixteen million, one hundred sixty-six thousand, four hundred".